25 tough GMAT Quants question - Free GMAT Test

Following are some of the tough Quants and this set includes very good questions on probability, permutation and combination. Feel free to contact us if you find any doubt in this GMAT tough Quants question set

1. The sum of the even numbers between 1 and n is 79*80, where n is an odd number, then n=?

2. The price of a bushel of corn is currently $3.20, and the price of a peck of wheat is $5.80. The price of corn is increasing at a constant rate of 5x cents per day while the price of wheat is decreasing at a constant rate of cents per day. What is the approximate price when a bushel of corn costs the same amount as a peck of wheat?(A) $4.50
(B) $5.10
(C) $5.30
(D) $5.50
(E) $5.60

3. How many randomly assembled people does u need to have a better than 50% prob. that at least 1 of them was born in a leap year?

4. In a basketball contest, players must make 10 free throws. Assuming a player has 90% chance of making each of his shots, how likely is it that he will make all of his first 10 shots?

5. AB + CD = AAA, where AB and CD are two-digit numbers and AAA is a three digit number; A, B, C, and D are distinct positive integers. In the addition problem above, what is the value of C?(A) 1(B) 3(C) 7(D) 9(E) Cannot be determined

6. A and B ran a race of 480 m. In the first heat, A gives B a head start of 48 m and beats him by 1/10th of a minute. In the second heat, A gives B a head start of 144 m and is beaten by 1/30th of a minute. What is B’s speed in m/s?
(A) 12
(B) 14
(C) 16
(D) 18
(E) 20

7. A certain quantity of 40% solution is replaced with 25% solution such that the new concentration is 35%. What is the fraction of the solution that was replaced?
(A) 1/4
(B) 1/3
(C) 1/2
(D) 2/3
(E) ¾

8. A person buys a share for $ 50 and sells it for $ 52 after a year. What is the total profit made by him from the share?
(I) A company pays annual dividend
(II) The rate of dividend is 25%

(A) Statement (I) ALONE is sufficient, but statement (II) alone is not sufficient
(B) Statement (II) ALONE is sufficient, but statement (I) is not sufficient
(C) BOTH statements TOGETHER are sufficient, but NEITHER statement alone is sufficient
(D) Each statement ALONE is sufficient
(E) Statements (I) and (II) TOGETHER are NOT sufficient

9. A bag contains 3 red, 4 black and 2 white balls. What is the probability of drawing a red and a white ball in two successive draws, each ball being put back after it is drawn?
(A) 2/27
(B) 1/9
(C) 1/3
(D) 4/27
(E) 2/9

10. What is the least possible distance between a point on the circle x^2 + y^2 = 1 and a point on the line y = 3/4*x - 3?A) 1.4
B) sqrt (2)
C) 1.7
D) sqrt (3)
E) 2.0

11. In the square above, 12w = 3x = 4y. What fractional part of the square is shaded?
A) 2/3B) 14/25C) 5/9D) 11/25E) 3/7

12. The average of temperatures at noontime from Monday to Friday is 50; the lowest one is 45, what is the possible maximum range of the temperatures?
a) 20
b) 25
c) 40
d) 45
e) 75

13. If n is an integer from 1 to 96, what is the probability for n*(n+1)*(n+2) being divisible by 8?A) 25%
B) 50%
C) 62.5%
D) 72.5%
E) 75%


14. krut , a painter, has 9 jars of paint:
4 are yellow
2 are red
rest are brown
Kurt will combine 3 jars of paint into a new container to make a new color, which he will name accordingly to the following conditions:Brun Y if the paint contains 2 jars of brown paint and no yellow
Brun X if the paint contains 3 jars of brown paint
Jaune X if the paint contains at least 2 jars of yellow
Jaune Y if the paint contains exactly 1 jar of yellow
What is the probability that the new color will be Jaunea) 5/42
b) 37/42
c) 1/21
d) 4/9
e) 5/9

15. TWO couples and a single person are to be seated on 5 chairs such that no couple is seated next to each other. What is the probability of the above?16. An express train traveled at an average speed of 100 kilometers per hour, stopping for 3 minutes after every 75 kilometers. A local train traveled at an average speed of 50 kilometers, stopping for 1 minute after every 25 kilometers. If the trains began traveling at the same time, how many kilometers did the local train travel in the time it took the express train to travel 600 kilometers?a. 300
b. 305
c. 307.5
d. 1200
e. 1236

17. An express train traveled at an average speed of 100 kilometers per hour, stopping for 3 minutes after every 75 kilometers. A local train traveled at an average speed of 50 kilometers, stopping for 1 minute after every 25 kilometers. If the trains began traveling at the same time, how many kilometers did the local train travel in the time it took the express train to travel 600 kilometers?a. 300
b. 305
c. 307.5
d. 1200
e. 1236

18. On how many ways can the letters of the word "COMPUTER" be arranged?
a) Without any restrictions.
b) M must always occur at the third place.
c) All the vowels are together.
d) All the vowels are never together.
e) Vowels occupy the even positions.

19. In the infinite sequence A, ,where x is a positive integer constant. For what value of n is the ratio of to equal to ?(A) 8
(B) 7
(C) 6
(D) 5
(E) 4

20. In how many ways can one choose 6 cards from a normal deck of cards so as to have all suits present?
a. (13^4) x 48 x 47
b. (13^4) x 27 x 47
c. 48C6
d. 13^4
e. (13^4) x 48C6

21. Each of the integers from 0 to 9, inclusive, is written on a separate slip of blank paper and the ten slips are dropped into a hat. If the slips are then drawn one at a time without replacement, how many must be drawn to ensure that the numbers on two of the slips drawn will have a sum of 10?
A) 3
B) 4
C) 5
D) 6
E) 7

22. Two missiles are launched simultaneously. Missile 1 launches at a speed of x miles per hour, increasing its speed by a factor of every 10 minutes (so that after 10 minutes its speed is , after 20 minutes its speed is , and so forth. Missile 2 launches at a speed of y miles per hour, doubling its speed every 10 minutes. After 1 hour, is the speed of Missile 1 greater than that of Missile 2?1) 2)(A) Statement (1) ALONE is sufficient to answer the question, but statement (2) alone is not.
(B) Statement (2) ALONE is sufficient to answer the question, but statement (1) alone is not.
(C) Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, but NEITHER statement ALONE is sufficient.
(D) EACH statement ALONE is sufficient to answer the question.
(E) Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question.
23. . If ((13!)^16 - (13!)^8)/ ((13!)^8 + (13!)^4) = a, what is the unit’s digit of a/ ((13!)^4)?(A) 0
(B) 1
(C) 3
(D) 5
(E) 9

24. The dimensions of a rectangular floor are 16 feet by 20 feet. When a rectangular rug is placed on the floor, a strip of floor 3 feet wide is exposed on all sides. What are the dimensions of the rug, in feet?(A) 10 by 14 (B) 10 by 17 (C) 13 by 14 (D) 13 by 17 (E) 14 by 16
25. How many different subsets of the set {10,14,17,24} are there that contain an odd number of elements?(a) 3 (b) 6 (c) 8 (d) 10 (e) 12